US7106787B2 - Acquisition matched filter for W-CDMA systems providing frequency offset robustness - Google Patents
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
- H04B1/69—Spread spectrum techniques
- H04B1/707—Spread spectrum techniques using direct sequence modulation
- H04B1/7073—Synchronisation aspects
- H04B1/7075—Synchronisation aspects with code phase acquisition
- H04B1/7077—Multi-step acquisition, e.g. multi-dwell, coarse-fine or validation
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04B—TRANSMISSION
- H04B1/00—Details of transmission systems, not covered by a single one of groups H04B3/00 - H04B13/00; Details of transmission systems not characterised by the medium used for transmission
- H04B1/69—Spread spectrum techniques
- H04B1/707—Spread spectrum techniques using direct sequence modulation
- H04B1/709—Correlator structure
- H04B1/7093—Matched filter type
Definitions
- CDMA Code division multiple access
- CDMA-based systems provide significantly higher bandwidth efficiency for a given spectrum allocation compared with conventional systems. They also demonstrate more favorable power consumption and control properties. This, in turn, ensures that a high-level of transmission quality can be sustained over longer periods of time.
- CDMA systems are also free from geographical constraints, i.e., many conventional systems must use different frequency allocations based on, for example, cell location. Because a coding scheme is used across a broad spectral range, CDMA systems are free from these restrictions.
- a W-CDMA receiver In order for a W-CDMA receiver to receive a spread-spectrum signal, it must first synchronize the timing of the signal with the transmitting station.
- initial signal acquisition of the receiver is established through a synchronization channel (SCH), used for cell search and timing acquisition, and a common pilot channel (CPICH), used for determining a scrambling code of the transmitting station and a phase reference of the signal.
- the SCH consists of two sub-channels, a primary synchronization-channel (P-SCH) and a secondary synchronization-channel (S-SCH).
- the primary sub-channel typically transmits a 256-chip modulated code to establish a primary synchronization code (PSC).
- the secondary synchronization-channel transmits a 256-chip modulated code to establish a secondary synchronization code (SSC).
- the receiving terminal In order to retrieve information from the transmitted signal, the receiving terminal must first detect the primary synchronization code, so that the timing of the receiving terminal may be synchronized to the 667 microsceond burst timing of the transmitter. Once burst timing synchronization is complete, the receiver detects the secondary synchronization code. This code determines one of 64 PN-code groups to which the scrambling code belongs which is used to modulate the transmitted signal, and it also determines 10 msec. frame timing for the W-CDMA signal. After the code-group is determined from the secondary synchronization channel, the final scrambling code out of 8 per PN-code group is determined by correlating the signal with all 8 possible scrambling codes belonging to the code group. This code may also be used to demodulate a downlink signal transmitted on the common pilot channel to thereby identify the transmitting station.
- a typical frequency reference for a cellular handset has an accuracy between 2 and 5 parts per million (PPM). This results in a carrier frequency error at 1900 MHz operating frequencies of up to about 10 KHz. This accuracy is readily obtained in very small crystal oscillators costing several dollars and is suitable for use in cellular handsets.
- Base stations on the other hand, require much greater accuracy typically on the order of 0.05 PPM or only about 100 Hz of error at 1900 MHz. Using equipment that can attain this accuracy has significantly increased the cost of W-CDMA systems. It is therefore desirable to relax the frequency accuracy requirement for initial acquisition in order to lower the cost of the receiving terminal and improve robustness.
- U.S. Pat. No. 5,950,131 to Vilmur discloses a method for performing fast-pilot channel acquisition using a matched filter in a CDMA radiotelephone. According to this method, a matched filter is split into multiple matched filters in a linear arrangement with short chip-match lengths. This improves frequency robustness for mapping the PN demodulation code to the modulated signal.
- the Vilmur approach has proven to have significant drawbacks. For example, this approach is unable to distinguish between codeword ambiguities, depending upon codeword design of a specific system. The inability to resolve these ambiguities substantially affects the performance of the matched filter and therefore the overall system. (The Vilmur method is discussed in greater detail below, and specifically corresponds to a conventional system which is unable to distinguish between sequences 0 and 8 shown in FIG. 6 during initial signal acquisition.)
- the present invention is a system and method for acquiring a transmitted spread-spectrum signal.
- the system includes a matched filter configuration which is preferably employed as a Stage 2 filter in a two-stage matched filter which is used for the second phase of an initial signal acquisition method performed by the spread-spectrum receiver.
- a Stage 1 filter matches a sequence which is repeated a number of times according to a second sequence, where the overall sequence forms the secondary synchronization sub-channel of the spread-spectrum signal.
- the Stage 2 filter of the invention then filters the output of the Stage 1 filter in order to recover the timing and presence of the secondary synchronization code that is used to determine the codegroup out, for example, of 64 possibilities and a 10 msec. frame timing of the signal.
- the Stage 2 filter of the invention includes a first matched filter which filters a first set of taps of the sequence output from the Stage 1 filter, a second matched filter which filters a second set of taps of this sequence, and a third matched filter which filters a predetermined number of taps overlap taps which are used by the first and second matched filters.
- the output of the third filter is used to resolve any ambiguities as to the identity of the sequence, which ambiguities would likely occur if a conventional Stage 2 filter design were used.
- the number of taps handled by the third filter may vary. For example, according to one aspect of the invention the third filter samples the same number of taps from the first and second matched filters.
- a different number may be sampled if desired provided that accurate recognition of the sequence output from the Stage 1 filter is preserved.
- the identification of the sequence leads to a substantial reduction in frequency offset errors in the receiver and thus an accurate determination of a secondary sequence code embedded in the spread-spectrum signal.
- FIG. 2 is a diagram of a radio frame structure that includes a primary sub-channel, a secondary sub-channel, and a common pilot channel transmitted in the system shown in FIG. 1 .
- FIG. 4 is a diagram of another filter configuration that may be used in the first phase of an initial signal acquisition process.
- FIG. 5 is a diagram of a filter configuration that may be used in a second phase of an initial signal acquisition process.
- FIG. 6 is a chart which includes a Hadamard matrix of modulated signal elements that may be searched by a second phase, Stage 2 filter configured in accordance with the present invention.
- FIG. 7 is a diagram of a preferred embodiment of second phase, Stage 2 filter configured in accordance with the present invention.
- a W-CDMA system 100 includes a transmitting station 101 and a receiving terminal 105 , the latter of which includes a channelization circuit 109 , a synchronization circuit 111 , a demodulation circuit 113 , and a despreading circuit 115 .
- the transmitting station transmits a W-CDMA signal through a transmission antenna 103 .
- This signal is received by an antenna 107 of the receiving terminal.
- the channelization circuit separates a synchronization channel (SCH) from other physical channels such as the common pilot channel (CPICH).
- SCH synchronization channel
- CPICH common pilot channel
- the synchronization channel component of the received signal is filtered to recover information that may be used to synchronize the timing of the receiving terminal with the transmitting station.
- This filtering operation takes place in synchronization circuit 111 , the output of which results in the identification of a PN code which may be used to demodulate, in demodulator circuit 113 , the other physical channels including the common pilot channel.
- the despreading circuit 115 then de-spreads the demodulated signal to recover the content 117 (e.g., voice and/or data) of the signal transmission.
- Initial signal acquisition may be accomplished in three phases.
- the first phase targets the acquisition of the primary synchronization code from the received signal.
- the second phase targets acquisition of the secondary synchronization code from the received signal.
- the third phase targets the determination of a specific spreading code used by a base station out of, for example, eight possible codes within a codegroup that was identified in the second phase.
- FIG. 3 shows one type of filter configuration for performing the first-phase of initial signal acquisition.
- This circuit includes two matched filters connected in tandem, namely a Stage 1 filter 301 and a Stage 2 filter 302 .
- the Stage 1 filter searches for a predetermined sequence a in a primary synchronization sub-channel (P-SCH) signal.
- the resulting magnitudes of these signals are then respectively determined in circuits 415 and 416 and then non-coherently added in a summation circuit 417 .
- the output of the summation circuit is then subjected to peak detection to recover the primary synchronization channel embedded in the received signal.
- Replacing a single 16-tap matched filter in Stage 2 with two 8-tap filters is beneficial because it prevents phase roll from occurring over long filter time spans. The replacement also improves frequency offset robustness, which, in turn, translates into improved accuracy in terms of signal reception.
- the Stage 2 filter 502 uses a single 16-tap filter 505 to search the output from the Stage 1 filter for one of sixteen orthogonal sequences of the Hadamard matrix 600 shown in FIG. 6 , as was similarly done for the Golay sequences in the first phase of signal transmission.
- sequences 0 and 8 may be separated into two 8-chip sequences to be used for non-coherent combining of detected signals. These sequences are reproduced below for the sake of clarity:
- sequences 0 and 8 are identical with respect to the first 8 chips and differ only in terms of sign with respect to the second 8-chips. If the signs of the second 8 chips are ignored, sequences 0 and 8 are indistinguishable (this is the effect caused by splitting the stage 2 filter into two sections and taking the magnitude or absolute value of their outputs before summing).
- This ambiguity means that some code group patterns in the secondary synchronization sub-channel (S-SCH) will be indistinguishable from other code group S-SCH patterns. Consequently, while splitting the Stage 2 filter in the manner shown in FIG.
- splitting the single 16-tap filter 505 into two 8-tap filters in Stage 2 of the second phase will corrupt the performance of the receiver in terms of its ability to distinguish between sequences 0 and 8, at least with respect to systems which conform to 3 GPP specifications.
- the Stage 2 filter is modified in accordance with the present invention to include three filters 710 , 720 , and 730 .
- the first two filters 710 and 720 may be similar to filters 411 and 412 shown in FIG. 4 , i.e., filter 710 is an 8-tap filter which samples the first 8-chips of the sequences output from the Stage 1 filter and filter 720 is an 8-tap filter which samples the last 8-chips of these sequences. (The sequences may be any of those shown in FIG. 6 ).
- the third filter 730 is a matched filter with input taps that overlap the taps of filters 710 and 720 .
- filter 730 is an 8-tap filter which processes a number of taps from filter 710 and a number of taps from filter 720 .
- the numbers of taps processed are preferably selected to allow the third filter to differentiate between any ambiguous sequences that were not identified by the first two filters. This may be accomplished in a variety of ways in accordance with the present invention.
- a Stage 2 filter in the second phase of initial signal acquisition is only comprised of filters 710 and 720 , a catastrophic ambiguity will likely arise that will prevent the receiver from differentiating, for example, between sequences 0 and 8 shown in FIG. 6 .
- ambiguities of this type may also arise for sequence pairs 1 and 9, 2 and 10, 3 and 11, 4 and 12, 5 and 13, 6 and 14, and 7 and 15 because in each of these pairs the first 8 taps are identical and the last 8 taps differ only in respect to their sign).
- the third filter processes a predetermined number of taps from the first filter 710 and a predetermined number of taps from the second filter 720 in a way that distinguishes between the sign differences that exist in the last 8 taps of the above-noted sequence pairs.
- the third filter processes the last four taps of filter 710 and the first four taps of filter 711 . (See FIG. 6 where these taps are denoted by the bracket labeled “filter 3.”) Under these circumstances, the first four taps from filter 710 will be identical when compared, however the sign difference in the last four taps will be recognized by the third filter. By recognizing this difference, the third filter will distinguish between sequences whose first 8 taps are identical, e.g., sequences 0 and 8 in FIG. 6 . As a result, ambiguities that would have arisen from using filters 710 and 720 alone are prevented. This will result in an increase in frequency offset robustness and thus the overall performance of the receiver.
- sampling the last 4 taps from the first filter 710 and the first four taps from the second filter 720 is preferable because it keeps phase roll to a minimum.
- phase roll degrades system performance with frequency offset errors. Because phase rolls grows with spacing, producing a close spacing of taps will tend to minimize phase roll.
- the third filter of the invention achieves this close spacing and thus advantageously keeps system performance at a high level.
- the third filter may sample a different number of taps from the first two filters.
- the number may be any number that will allow sequences which are similar but not identical from being differentiated.
- the third filter may sample three or two taps or even one tap and still be able to solve the ambiguity problem, however sampling fewer taps will tend to degrade performance because of an increased sensitivity to noise.
- the outputs from the magnitude determination circuits are summed (non-coherently combined) in the summation circuit 719 .
- the resulting sequence from circuit 719 spans the 15 time slots illustratively shown in FIG. 2 and identifies a code group which may be mapped to the secondary synchronization code (SSC) in accordance with the following definition:
- Curve A corresponds to performance attained without frequency offset for phase 1 only.
- Curve B corresponds to performance attained with frequency offset for phase 1 only.
- Curve C shows performance attained without offset when both phase 1 and phase 2 are implemented.
- Curve D shows performance attained with offset when both phase 1 and phase 2 are implemented.
- the curves show that 10 kHz frequency offset only degrades performance about 1 dB for the phase 2 results (this means executing sequentially phase 1 and then phase 2 ).
- the conventional filter will achieve a null for a desired signal and hence will not detect it, and at 10 kHz it is highly degraded.
- the present invention moves the null out to 30 kHz (e.g., 1/33 microseconds, which is equal to the length of the stage 2 filters in time), which results in a very small degradation at 10 kHz frequency offset.
- a frequency offset of 10 kHz shows only about 1 dB of degradation compared to no frequency offset. It is also seen that the second phase impairs performance only about 1 dB beyond the first phase, proving that catastrophic ambiguity is resolved and the matched filter of the present invention provides high performance for phase II acquisition for W-CDMA with robustness to frequency offset errors up to 10 kHz or 5 PPM for 2 GHz operating frequencies.
- each of the matched filters therein span 256-chips and, at the standard chip rate of 3.84 Mchips/sec, correspondingly span 67 usec. Under these circumstances, if there is a 10 KHz frequency offset the output will be degraded by 5 dB relative to no frequency offset. This degradation is generally unacceptable for W-CDMA systems, particularly a 3 GPP system.
- each of the split filters 411 and 412 spans 128-chips and correspondingly 33.3 usec.
- the receiver achieves only 1.5 dB of degradation at 10 KHz frequency offset. Through the present invention, an even better result is achieved.
- a receiver configured in accordance with the present invention preferably includes a phase I filter configuration as shown in FIG. 4 and a phase II filter configuration as shown in FIG. 7 .
- a phase I filter configuration as shown in FIG. 4
- a phase II filter configuration as shown in FIG. 7 .
- this combined architecture by limiting all Stage 2 filters to only 33.3 usec, a robust frequency offset of up to 10 KHz is preserved.
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Abstract
Description
a=<x1,x 2,x3, . . . ,x16>=<1,1,1,1,1,1,−1,−1,1,−1,1,−1,1,−1,−1,1>
The sixteen element sequence is multiplied by ±1 and repeated sixteen times in the 256-chip span over all 256-chips of the primary synchronization channel in each of the fifteen time slots.
C psc=(1+j)x<a, a, a, −a, −a, a, −a, −a, a, a, a, a, −a, a, −a, a, a>
where the leftmost chip in the sequence corresponds to the chip transmitted first in time. A single 16-
b=<x1,x2,x3,x4,x5,x6,x7,x8,−x9,−x10,−x11,−x12,−x13,−x14,−x15,−
where x1, x2, . . . , x15, x16 are same as in the definition of sequence a above. Sequence b similarly spans 16-chips and likewise is multiplied by a±1 and repeated sixteen times over the 256-chip span of each time slot.
z=<b,b,b,−b,b,b,−b,−b,b,−b,b,−b,−b,−b,−b,−b>
At the time of transmission, sequence z is modulated by position-wise multiplication of a Hadamard sequence which is obtained in accordance with the following definition:
In the above equation, the n:th Hadamard sequence may be denoted as a row H8numbered from the top, n=0,1, 2, . . . ,255, in the sequel and k=1, 2, 3, . . . , 16. Moreoever, hn(i) and z(i) denote the i:th symbol of the sequence hn and z, respectively, where i=0, 1, 2, . . . , 255 and i=0 corresponds to the leftmost symbol.
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1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
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1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | −1 | −1 | −1 | −1 | −1 | −1 | −1 | −1 |
-
- For the k:th SSC, where k=1, 2, 3, . . . , 16, Cssc,k, is defined as
C ssc,k=(1+j)x<h m(0)xz(0),h m(1)xz(1),h m(2)xz(2), . . . ,h m(255)xz(255)<;
where m=16×(k−1) and the leftmost chip in the sequence corresponds to the chip transmitted first in time. Under 3 GPP specifications, Cssc may identify the PN demodulation code for the common pilot channel used fordemodulator circuit 113 and the transmittingstation 101 may be identified. Frequency offset can now be corrected based on the local reference of the identified transmittingstation 101. The robustness of this frequency offset will be improved compared with conventional systems through theStage 2 matched filter of the present invention which is employed in the second phase of initial signal acquisition. The following comparison makes this improvement evident.
- For the k:th SSC, where k=1, 2, 3, . . . , 16, Cssc,k, is defined as
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US11/494,660 US7508866B2 (en) | 2001-11-28 | 2006-07-27 | Acquisition matched filter for W-CDMA systems providing frequency offset robustness |
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US20030099223A1 (en) | 2003-05-29 |
US7508866B2 (en) | 2009-03-24 |
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